But a State campground isn't National Forest...it's a bubble inside the National Forest. In National Forest you are ok to be armed, unless you ask then the answer is no.
Here in the great state of Kentucky 90% of the campgrounds are RUN by the US Forest Service! If you are on US FOrest Land ... you have to abide by USDA / US Forest Service laws ... no matter what state you are in. US Forest Service Laws trump any state laws. There are big signs going into Land Between the Lakes .... "NO FIREARMS Unless During Respective Hunting Seasons". Can't say it any clearer than that.